MAT 156 Sp'09 Lab 4 Circles and Ellipses Draw the graph of 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 Method 1 : Solve Explicitly upper:= x->sqrt(9-x^2);

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plot(upper(x), x= -3..3);

NiktJSdDVVJWRVNHNiQ3X283JCQhI0khIiIkIiIhISIiNyQkIS92PW5nIz0qSCEjOCQiMj0mXDsoKilwSUAjISM8NyQkIS52VjhfTylIISM3JCIyTnNQKyd6aEZKISM8NyQkIS9EYywjeWEoSCEjOCQiMF9aRyNvInojUSEjOjckJCEtdm9VSW5IISM2JCIxdEJyRk0yPFchIzs3JCQhMigqKlw3LmsmNCZIISM7JCIxQTNPIXBzQlMmISM7NyQkISx2YDNZJEghIzUkIjF1UmYiUlsmSGkhIzs3JCQhLUQxRyI+IUghIzYkIjE+OlIlUmgmM3chIzs3JCQhK3ZxQHBHISIqJCIwJ2V2WDFDaCgpISM6NyQkIS5ESko/QiJHISM3JCIybEc+NnlSVy8iISM7NyQkIS1EXk5VYkYhIzYkIjInPlc3KFxTaz0iISM7NyQkIS52PT5QOXAjISM3JCIyJzN1bnZTP0Q4ISM7NyQkISxEJDNYRkUhIzUkIjFpQk0qR0l6VyIhIzo3JCQhLHYjKUgnKVwjISM1JCIyKCpvP3g6dy5tIiEjOzckJCEtRCczQC9QIyEjNiQiMXUqKm8/eXhRPSEjOjckJCEtRHJeYl5BISM2JCIyMylbbCFwW0QpPiEjOzckJCEtRCxrWkdAISM2JCIxbyoqeWorOTlAISM6NyQkIS1EaCIpPSw/ISM2JCIydi0iSCZvL11CIyEjOzckJCEtRE8iM1YoPSEjNiQiMXNCMDshR0NNIyEjOjckJCErTmt6VjwhIiokIjE6c15XPjlUQyEjOjckJCEsdmxUKUc7ISM1JCIyJz1fTHAvST5EISM7NyQkISswKUglKlwiISIqJCIxJT51LEwwJSlmIyEjOjckJCErdmxbcDghIiokIjJYYyxWN3gicEUhIzs3JCQhKyY+aVVDIiEiKiQiMScpeUNdMSEpSEYhIzo3JCQhLURoa2FJNiEjNiQiMk4zXHZMQyl5RiEjOzckJCEqYnVLJioqISIqJCIxPnlYeloySUchIzo3JCQhKUF6MikpISIpJCIxdFZ2eTl6bkchIzo3JCQhLEQiUkt2dSEjNiQiMT5MdEROUDBIISM6NyQkITEtKysrUCdlSCchIzskIjF1JillcUg+TEghIzo3JCQhMSoqKipcNyozPSsmISM7JCIyI1EpZSc0JDQhZUghIzs3JCQhMiYpKioqXFBGY3BQISM8JCIxNm5bL0pBd0ghIzo3JCQhMiMpKioqKlw3VlFbIyEjPCQiMlZTRG4mKSpwKilIISM7NyQkITEpKioqXGk2Oi44ISM7JCIxUCNcYEtvcipIISM6NyQkITJhMCsrXVA6J0ghIz4kIjJNZTojUSYpKioqKkghIzs3JCQiMiYqKioqXChRSUtIIiEjPCQiMUFpeiZINnMqSCEjOjckJCIxKioqKlw3OnhXQyEjOyQiMmJHPEwqPS0hKkghIzs3JCQiMSwrK3Z1WSlvJCEjOyQiMmk2MkIrUnMoSCEjOzckJCIxKSoqKioqKjRGTChcISM7JCIxcyU9IjQmKltlSCEjOjckJCIxKSoqKipcZDYuQichIzskIjIjb2ZxTkJmTUghIzs3JCQiLHZvM2xXKCEjNiQiMWo3RylSOGghSCEjOjckJCIxKioqKipcQSkpb3opISM7JCIyWj8lZlZoN29HISM7NyQkIjInKioqKioqSGstLDUhIzskIjJvVChRPFMxR0chIzs3JCQiK0QtZUk2ISIqJCIydHFcMmc1KXlGISM7NyQkIjIoKioqXCg9Xyh6QyIhIzskIjEqKip5ajwwIkdGISM6NyQkIjIuKytdJio9alAiISM7JCIxeGBuVjBtbEUhIzo3JCQiMicqKipcKDMvMyhcIiEjOyQiMnQhPklfJ2YoKmYjISM7NyQkIi12QjRKQjshIzYkIjFiKFJBdW5HXyMhIzo3JCQiMigqKioqKlxLQ251IiEjOyQiMiUzRTsjelohUkMhIzs3JCQiMigqKipcKD1uI2YoPSEjOyQiMmxYJWZ6PjhUQiEjOzckJCIyLysrKylSTys/ISM7JCIxJEhnMFBVZEIjISM6NyQkIixEMD53NyMhIzUkIjFsNll3Rys6QCEjOjckJCIyLitdKClRP1FEIyEjOyQiMVhVM1hKKCp6PiEjOjckJCIyLisrK0oneXBCISM7JCIyLk8pUVBlZlI9ISM7NyQkIixETSdwLUQhIzUkIjFPU0I5LkNhOyEjOjckJCIqbXM6aSMhIikkIjJfcEk5N1kmZTkhIzs3JCQiLnZWOFlcbyMhIzckIjFQNil5WzEkUTghIzo3JCQiLXYzJz4kW0YhIzYkIjI4IjRldlohRz8iISM7NyQkIio2dyozRyEiKSQiMSU+Olt5K00wIiEjOjckJCItRDZFanBHISM2JCIxVFt6JW8/d3UpISM7NyQkIi92VmVXQS1IISM4JCIxIipbcDVdbSdmKCEjOzckJCIuRGNJO1skSCEjNyQiMUU1ZUVHdj5pISM7NyQkIjB2PSNIQTZeSCEjOSQiMTdMaTJTJlFSJiEjOzckJCIyLl03RzozdSdIISM7JCIxczR4YCEqMzVXISM7NyQkIjJhUDRZNmNiKEghIzskIjJDYlBib2I9I1EhIzw3JCQiMEQxazIvUClIISM5JCIydUlbUygpZUU3JCEjPDckJCIxREo/UT8mPSpIISM6JCIyTE9bejRjJjRBISM8NyQkIiNJISIiJCIiISEiIi0lJkNPTE9SRzYmJSRSR0JHJCIjNSEiIiQiIiEhIiIkIiIhISIiLSUlVklFV0c2JDskISNJISIiJCIjSSEiIjskITJiO0prMigqKioqZiEjPSQiMlcqKXoqMyYpKipmSSEjOy0lK0FYRVNMQUJFTFNHNidRIng2IlEhNiItJSVGT05URzYlJSFHJSFHIiM1JStIT1JJWk9OVEFMRyUrSE9SSVpPTlRBTEctJSpBWEVTU1RZTEVHNiMlJ05PUk1BTEctJSpHUklEU1RZTEVHNiMlLFJFQ1RBTkdVTEFSRy0lKFNDQUxJTkdHNiMlLlVOQ09OU1RSQUlORURHLSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIkXSIhIiItJSlCT1VORFNfWUc2IyQiI2chIiItJS1CT1VORFNfV0lEVEhHNiMkIiVnUCEiIi0lLkJPVU5EU19IRUlHSFRHNiMkIiVTTiEiIi0lKUNISUxEUkVORzYi

This does not look like at all like a circle. The problem is that the scale on the x-axis is different than the one on the y-axis. To prevent this from happening, we modify the plot command. plot(upper(x), x= -3..3,scaling=constrained);

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This now looks like half a circle. To get the other half we have to solve explicitly for the bottom half lower:= x->-sqrt(9-x^2);

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plot(lower(x), x= -3..3,scaling=constrained);

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

Now put them together plot({upper(x),lower(x)}, x= -3..3,scaling=constrained);

NiotJSdDVVJWRVNHNiQ3X283JCQhI0khIiIkIiIhISIiNyQkIS92PW5nIz0qSCEjOCQiMj0mXDsoKilwSUAjISM8NyQkIS52VjhfTylIISM3JCIyTnNQKyd6aEZKISM8NyQkIS9EYywjeWEoSCEjOCQiMF9aRyNvInojUSEjOjckJCEtdm9VSW5IISM2JCIxdEJyRk0yPFchIzs3JCQhMigqKlw3LmsmNCZIISM7JCIxQTNPIXBzQlMmISM7NyQkISx2YDNZJEghIzUkIjF1UmYiUlsmSGkhIzs3JCQhLUQxRyI+IUghIzYkIjE+OlIlUmgmM3chIzs3JCQhK3ZxQHBHISIqJCIwJ2V2WDFDaCgpISM6NyQkIS5ESko/QiJHISM3JCIybEc+NnlSVy8iISM7NyQkIS1EXk5VYkYhIzYkIjInPlc3KFxTaz0iISM7NyQkIS52PT5QOXAjISM3JCIyJzN1bnZTP0Q4ISM7NyQkISxEJDNYRkUhIzUkIjFpQk0qR0l6VyIhIzo3JCQhLHYjKUgnKVwjISM1JCIyKCpvP3g6dy5tIiEjOzckJCEtRCczQC9QIyEjNiQiMXUqKm8/eXhRPSEjOjckJCEtRHJeYl5BISM2JCIyMylbbCFwW0QpPiEjOzckJCEtRCxrWkdAISM2JCIxbyoqeWorOTlAISM6NyQkIS1EaCIpPSw/ISM2JCIydi0iSCZvL11CIyEjOzckJCEtRE8iM1YoPSEjNiQiMXNCMDshR0NNIyEjOjckJCErTmt6VjwhIiokIjE6c15XPjlUQyEjOjckJCEsdmxUKUc7ISM1JCIyJz1fTHAvST5EISM7NyQkISswKUglKlwiISIqJCIxJT51LEwwJSlmIyEjOjckJCErdmxbcDghIiokIjJYYyxWN3gicEUhIzs3JCQhKyY+aVVDIiEiKiQiMScpeUNdMSEpSEYhIzo3JCQhLURoa2FJNiEjNiQiMk4zXHZMQyl5RiEjOzckJCEqYnVLJioqISIqJCIxPnlYeloySUchIzo3JCQhKUF6MikpISIpJCIxdFZ2eTl6bkchIzo3JCQhLEQiUkt2dSEjNiQiMT5MdEROUDBIISM6NyQkITEtKysrUCdlSCchIzskIjF1JillcUg+TEghIzo3JCQhMSoqKipcNyozPSsmISM7JCIyI1EpZSc0JDQhZUghIzs3JCQhMiYpKioqXFBGY3BQISM8JCIxNm5bL0pBd0ghIzo3JCQhMiMpKioqKlw3VlFbIyEjPCQiMlZTRG4mKSpwKilIISM7NyQkITEpKioqXGk2Oi44ISM7JCIxUCNcYEtvcipIISM6NyQkITJhMCsrXVA6J0ghIz4kIjJNZTojUSYpKioqKkghIzs3JCQiMiYqKioqXChRSUtIIiEjPCQiMUFpeiZINnMqSCEjOjckJCIxKioqKlw3OnhXQyEjOyQiMmJHPEwqPS0hKkghIzs3JCQiMSwrK3Z1WSlvJCEjOyQiMmk2MkIrUnMoSCEjOzckJCIxKSoqKioqKjRGTChcISM7JCIxcyU9IjQmKltlSCEjOjckJCIxKSoqKipcZDYuQichIzskIjIjb2ZxTkJmTUghIzs3JCQiLHZvM2xXKCEjNiQiMWo3RylSOGghSCEjOjckJCIxKioqKipcQSkpb3opISM7JCIyWj8lZlZoN29HISM7NyQkIjInKioqKioqSGstLDUhIzskIjJvVChRPFMxR0chIzs3JCQiK0QtZUk2ISIqJCIydHFcMmc1KXlGISM7NyQkIjIoKioqXCg9Xyh6QyIhIzskIjEqKip5ajwwIkdGISM6NyQkIjIuKytdJio9alAiISM7JCIxeGBuVjBtbEUhIzo3JCQiMicqKipcKDMvMyhcIiEjOyQiMnQhPklfJ2YoKmYjISM7NyQkIi12QjRKQjshIzYkIjFiKFJBdW5HXyMhIzo3JCQiMigqKioqKlxLQ251IiEjOyQiMiUzRTsjelohUkMhIzs3JCQiMigqKipcKD1uI2YoPSEjOyQiMmxYJWZ6PjhUQiEjOzckJCIyLysrKylSTys/ISM7JCIxJEhnMFBVZEIjISM6NyQkIixEMD53NyMhIzUkIjFsNll3Rys6QCEjOjckJCIyLitdKClRP1FEIyEjOyQiMVhVM1hKKCp6PiEjOjckJCIyLisrK0oneXBCISM7JCIyLk8pUVBlZlI9ISM7NyQkIixETSdwLUQhIzUkIjFPU0I5LkNhOyEjOjckJCIqbXM6aSMhIikkIjJfcEk5N1kmZTkhIzs3JCQiLnZWOFlcbyMhIzckIjFQNil5WzEkUTghIzo3JCQiLXYzJz4kW0YhIzYkIjI4IjRldlohRz8iISM7NyQkIio2dyozRyEiKSQiMSU+Olt5K00wIiEjOjckJCItRDZFanBHISM2JCIxVFt6JW8/d3UpISM7NyQkIi92VmVXQS1IISM4JCIxIipbcDVdbSdmKCEjOzckJCIuRGNJO1skSCEjNyQiMUU1ZUVHdj5pISM7NyQkIjB2PSNIQTZeSCEjOSQiMTdMaTJTJlFSJiEjOzckJCIyLl03RzozdSdIISM7JCIxczR4YCEqMzVXISM7NyQkIjJhUDRZNmNiKEghIzskIjJDYlBib2I9I1EhIzw3JCQiMEQxazIvUClIISM5JCIydUlbUygpZUU3JCEjPDckJCIxREo/UT8mPSpIISM6JCIyTE9bejRjJjRBISM8NyQkIiNJISIiJCIiISEiIi0lJkNPTE9SRzYmJSRSR0JHJCIjNSEiIiQiIiEhIiIkIiIhISIiLSUnQ1VSVkVTRzYkN19vNyQkISNJISIiJCEiISEiIjckJCEvdj1uZyM9KkghIzgkITI9Jlw7KCopcElAIyEjPDckJCEudlY4X08pSCEjNyQhMk5zUCsnemhGSiEjPDckJCEvRGMsI3lhKEghIzgkITBfWkcjbyJ6I1EhIzo3JCQhLXZvVUluSCEjNiQhMXRCckZNMjxXISM7NyQkITIoKipcNy5rJjQmSCEjOyQhMUEzTyFwc0JTJiEjOzckJCEsdmAzWSRIISM1JCExdVJmIlJbJkhpISM7NyQkIS1EMUciPiFIISM2JCExPjpSJVJoJjN3ISM7NyQkISt2cUBwRyEiKiQhMCdldlgxQ2goKSEjOjckJCEuREpKP0IiRyEjNyQhMmxHPjZ5UlcvIiEjOzckJCEtRF5OVWJGISM2JCEyJz5XNyhcU2s9IiEjOzckJCEudj0+UDlwIyEjNyQhMiczdW52Uz9EOCEjOzckJCEsRCQzWEZFISM1JCExaUJNKkdJelciISM6NyQkISx2IylIJylcIyEjNSQhMigqbz94OncubSIhIzs3JCQhLUQnM0AvUCMhIzYkITF1KipvP3l4UT0hIzo3JCQhLURyXmJeQSEjNiQhMjMpW2whcFtEKT4hIzs3JCQhLUQsa1pHQCEjNiQhMW8qKnlqKzk5QCEjOjckJCEtRGgiKT0sPyEjNiQhMnYtIkgmby9dQiMhIzs3JCQhLURPIjNWKD0hIzYkITFzQjA7IUdDTSMhIzo3JCQhK05relY8ISIqJCExOnNeVz45VEMhIzo3JCQhLHZsVClHOyEjNSQhMic9X0xwL0k+RCEjOzckJCErMClIJSpcIiEiKiQhMSU+dSxMMCUpZiMhIzo3JCQhK3ZsW3A4ISIqJCEyWGMsVjd4InBFISM7NyQkISsmPmlVQyIhIiokITEnKXlDXTEhKUhGISM6NyQkIS1EaGthSTYhIzYkITJOM1x2TEMpeUYhIzs3JCQhKmJ1SyYqKiEiKiQhMT55WHpaMklHISM6NyQkISlBejIpKSEiKSQhMXRWdnk5em5HISM6NyQkISxEIlJLdnUhIzYkITE+THRETlAwSCEjOjckJCExLSsrK1AnZUgnISM7JCExdSYpZXFIPkxIISM6NyQkITEqKioqXDcqMz0rJiEjOyQhMiNRKWUnNCQ0IWVIISM7NyQkITImKSoqKlxQRmNwUCEjPCQhMTZuWy9KQXdIISM6NyQkITIjKSoqKipcN1ZRWyMhIzwkITJWU0RuJikqcCopSCEjOzckJCExKSoqKlxpNjouOCEjOyQhMVAjXGBLb3IqSCEjOjckJCEyYTArK11QOidIISM+JCEyTWU6I1EmKSoqKipIISM7NyQkIjImKioqKlwoUUlLSCIhIzwkITFBaXomSDZzKkghIzo3JCQiMSoqKipcNzp4V0MhIzskITJiRzxMKj0tISpIISM7NyQkIjEsKyt2dVkpbyQhIzskITJpNjJCK1JzKEghIzs3JCQiMSkqKioqKio0RkwoXCEjOyQhMXMlPSI0JipbZUghIzo3JCQiMSkqKioqXGQ2LkInISM7JCEyI29mcU5CZk1IISM7NyQkIix2bzNsVyghIzYkITFqN0cpUjhoIUghIzo3JCQiMSoqKioqXEEpKW96KSEjOyQhMlo/JWZWaDdvRyEjOzckJCIyJyoqKioqKkhrLSw1ISM7JCEyb1QoUTxTMUdHISM7NyQkIitELWVJNiEiKiQhMnRxXDJnNSl5RiEjOzckJCIyKCoqKlwoPV8oekMiISM7JCExKioqeWo8MCJHRiEjOjckJCIyLisrXSYqPWpQIiEjOyQhMXhgblYwbWxFISM6NyQkIjInKioqXCgzLzMoXCIhIzskITJ0IT5JXydmKCpmIyEjOzckJCItdkI0SkI7ISM2JCExYihSQXVuR18jISM6NyQkIjIoKioqKipcS0NudSIhIzskITIlM0U7I3paIVJDISM7NyQkIjIoKioqXCg9biNmKD0hIzskITJsWCVmej44VEIhIzs3JCQiMi8rKyspUk8rPyEjOyQhMSRIZzBQVWRCIyEjOjckJCIsRDA+dzcjISM1JCExbDZZd0crOkAhIzo3JCQiMi4rXSgpUT9RRCMhIzskITFYVTNYSigqej4hIzo3JCQiMi4rKytKJ3lwQiEjOyQhMi5PKVFQZWZSPSEjOzckJCIsRE0ncC1EISM1JCExT1NCOS5DYTshIzo3JCQiKm1zOmkjISIpJCEyX3BJOTdZJmU5ISM7NyQkIi52VjhZXG8jISM3JCExUDYpeVsxJFE4ISM6NyQkIi12Myc+JFtGISM2JCEyOCI0ZXZaIUc/IiEjOzckJCIqNncqM0chIikkITElPjpbeStNMCIhIzo3JCQiLUQ2RWpwRyEjNiQhMVRbeiVvP3d1KSEjOzckJCIvdlZlV0EtSCEjOCQhMSIqW3A1XW0nZighIzs3JCQiLkRjSTtbJEghIzckITFFNWVFR3Y+aSEjOzckJCIwdj0jSEE2XkghIzkkITE3TGkyUyZRUiYhIzs3JCQiMi5dN0c6M3UnSCEjOyQhMXM0eGAhKjM1VyEjOzckJCIyYVA0WTZjYihIISM7JCEyQ2JQYm9iPSNRISM8NyQkIjBEMWsyL1ApSCEjOSQhMnVJW1MoKWVFNyQhIzw3JCQiMURKP1E/Jj0qSCEjOiQhMkxPW3o0YyY0QSEjPDckJCIjSSEiIiQhIiEhIiItJSZDT0xPUkc2JiUkUkdCRyQiMidcXydlTSV5Zz4hIzwkIjFpajkuZUBSISkhIzskIjInXF8nZU0leWc+ISM8LSUlVklFV0c2JDskISNJISIiJCIjSSEiIjskITJrP1coeiUpKio+SiEjOyQiMms/Vyh6JSkqKj5KISM7LSUrQVhFU0xBQkVMU0c2J1EieDYiUSE2Ii0lJUZPTlRHNiUlIUclIUciIzUlK0hPUklaT05UQUxHJStIT1JJWk9OVEFMRy0lKkFYRVNTVFlMRUc2IyUnTk9STUFMRy0lKkdSSURTVFlMRUc2IyUsUkVDVEFOR1VMQVJHLSUoU0NBTElOR0c2IyUsQ09OU1RSQUlORURHLSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIkXSIhIiItJSlCT1VORFNfWUc2IyQiI10hIiItJS1CT1VORFNfV0lEVEhHNiMkIiVJUCEiIi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhKVEhIiItJSlDSElMRFJFTkc2Ig==

Method 2 : Solve Implicitly with(plots): implicitplot(x^2+y^2=9, x=-3..3, y=-3..3, scaling=constrained);

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

The equation for the circle with center (h,k) and radius R is 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 Assignment 1: Plot the circle with center (-1,2) and radius 4 Ellipses implicitplot((x-1)^2/9+(y-3)^2/16=1, x=-2..4, y=-1..7, scaling=constrained);

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

This is an ellipse whose center is (1,3) whose horizontal axis has length 6 and whose vertical axis has length 8. The general formula for an ellipse whose center is (h,k) whose horizontal axis has length 2a and whose vertical axis has length 2b is 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 Assignment 2: Plot the ellipse whose center is (0,-1) whose vertical axis has length 4 and horizontal axis 8 Completing the Square It is useful to convert an equation into the standard form for a circle or ellipse if possible. For example consider the equation 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 = 92 with(student): left:=9*x^2-36*x+16*y^2-32*y;

LCoqJiIiKiIiIilJInhHNiIiIiNGJUYlKiYiI09GJUYnRiUhIiIqJiIjO0YlKUkieUdGKEYpRiVGJSomIiNLRiVGMEYlRiw=

right:= 92;

IiMjKg==

newleft:=completesquare(left, {x, y});

LCgqJiIjOyIiIiksJkkieUc2IkYlRiUhIiIiIiNGJUYlIiNfRioqJiIiKkYlKSwmSSJ4R0YpRiVGK0YqRitGJUYl

The {x,y} tells Maple to complete the square in both variables The next step is to move the -52 to the right hand side right := right +52; finalleft:= newleft+52;

IiRXIg== LCYqJiIjOyIiIiksJkkieUc2IkYlRiUhIiIiIiNGJUYlKiYiIipGJSksJkkieEdGKUYlRitGKkYrRiVGJQ==

Then divide by 144 to make the right hand side equal to 1. Finally we give the equation a name. eqn:= finalleft/right = 1;

LywmKiYjIiIiIiIqRiYpLCZJInlHNiJGJkYmISIiIiIjRiZGJiomI0YmIiM7RiYpLCZJInhHRitGJkYtRixGLUYmRiZGJg==

implicitplot(eqn, x=-6..8,y=-12..16, scaling=constrained);

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

Assignment 3: Identify the equation 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 as a circle or ellipse in standard form. Then plot it.